Base | Representation |
---|---|
bin | 100111001011010… |
… | …0011010000000000 |
3 | 10101121112021012021 |
4 | 1032112203100000 |
5 | 10143010100100 |
6 | 334235011224 |
7 | 44401233544 |
oct | 11626432000 |
9 | 3347467167 |
10 | 1314534400 |
11 | 615025173 |
12 | 308299b14 |
13 | 17c45670a |
14 | c6825a24 |
15 | 7a611a1a |
hex | 4e5a3400 |
1314534400 has 66 divisors (see below), whose sum is σ = 3258516950. Its totient is φ = 525803520.
The previous prime is 1314534391. The next prime is 1314534421. The reversal of 1314534400 is 44354131.
It can be written as a sum of positive squares in 3 ways, for example, as 36864 + 1314497536 = 192^2 + 36256^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 75 + ... + 51274.
Almost surely, 21314534400 is an apocalyptic number.
1314534400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1314534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629258475).
1314534400 is an abundant number, since it is smaller than the sum of its proper divisors (1943982550).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1314534400 is an equidigital number, since it uses as much as digits as its factorization.
1314534400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 51379 (or 51356 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 25.
The square root of 1314534400 is about 36256.5083812548. The cubic root of 1314534400 is about 1095.4451877847.
Adding to 1314534400 its reverse (44354131), we get a palindrome (1358888531).
The spelling of 1314534400 in words is "one billion, three hundred fourteen million, five hundred thirty-four thousand, four hundred".
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